1979540040 has 128 divisors (see below), whose sum is σ = 6043040640. Its totient is φ = 518670336.

The previous prime is 1979540039. The next prime is 1979540063. The reversal of 1979540040 is 400459791.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320254 + ... + 2321106.

It is an arithmetic number, because the mean of its divisors is an integer number (47211255).

Almost surely, 2^1979540040 is an apocalyptic number.

1979540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021520320).

1979540040 is an abundant number, since it is smaller than the sum of its proper divisors (4063500600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1979540040 is a wasteful number, since it uses less digits than its factorization.

1979540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1979540040 is about 44492.0222062338. The cubic root of 1979540040 is about 1255.6099932483.

The spelling of 1979540040 in words is "one billion, nine hundred seventy-nine million, five hundred forty thousand, forty".